Abstract
In the second decade of this century, chaotic maps without fixed points, which contain hidden attractors, have been described. The chaotic properties that exist between them and with maps with fixed points may differ. In this manuscript, we will make a comparative analysis of some of these features between discrete maps with and without fixed points, both one-dimensional and two-dimensional. The analyses performed on the maps will be by means of bifurcation diagrams, Lyapunov exponents, entropy calculation, as well as other statistical and numerical tools. Finally, tables are used to show and compare the values obtained from each of the exposed maps.
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Acknowledgements
C. García-Grimaldo is thankful to CONACYT for the scholarships granted. Eric Campos acknowledges CONACYT for the financial support through project no. A1-S-30433.
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García-Grimaldo, C., Campos-Cantón, E. (2022). Comparative Analysis of Chaotic Features of Maps Without Fixed Points. In: Huerta Cuéllar, G., Campos Cantón, E., Tlelo-Cuautle, E. (eds) Complex Systems and Their Applications. Springer, Cham. https://doi.org/10.1007/978-3-031-02472-6_8
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